The Orlicz-Brunn-Minkowski theory

CSGB seminar
Thursday, 25 June, 2015, at 13:15-14:00, in Koll. D (1531-211)
Richard Gardner (Western Washington University)

The Orlicz-Brunn-Minkowski theory was introduced by Lutwak, Yang, and Zhang in 2010 and represents the latest substantially developed extension of the classical Brunn-Minkowski theory.  The talk will be a survey on the current state of the new theory and its significance, with some thoughts about possible future extensions.  I will spend some time giving the background, illustrated with a few pictures, for those who are not familiar with the Brunn-Minkowski theory.  My own contribution is contained in joint work with Daniel Hug and Wolfgang Weil and with Deping Ye of the University of Newfoundland.